Because of the side effects of immunosuppressive drugs, an important goal of transplant research is to allow people to accept their transplanted organ without always having to take immunosuppressive drugs. This is called tolerance. The RESTARRT study is testing a combination of two medications, rituximab and anti-thymocyte globulin (ATG), to see if they can help people reduce or eliminate the need for life-long immunosuppressive medications. ATG has been used for over 10 years to treat transplant rejection; rituximab is used to treat rheumatoid arthritis and two types of cancer. ATG works on immune cells called 'T cells' that are involved in transplant rejection, while rituximab works on a different type of cell called 'B cells.' Researchers hope that targeting both these cell types at the same time will help reset the immune system so that it accepts the transplanted kidney.